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Finding the Fourth Proportional to 119,919.78, 179,861.67 and 75,410.82

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Solution

The fourth proportional to 119,919.78, 179,861.67 and 75,410.82 is: 113,104.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,919.78 : 179,861.67 = 75,410.82 : x
  2. Step 2: Convert to fraction form
    119,919.78/179,861.67 = 75,410.82/x
  3. Step 3: Cross multiply
    119,919.78x = 179,861.67 × 75,410.82
  4. Step 4: Simplify right side
    119,919.78x = 13,563,516,021.27
  5. Step 5: Solve for x
    x = 13,563,516,021.27/119,919.78
  6. Step 6: Final answer
    x = 113,104.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.